Question

A gardener wants to fence a circular garden of diameter 21m. Find the length of the rope he needs to purchase, if he makes 2 rounds of fence. Also find the cost of the rope, if it costs ₹ 4 per meter. (Take π = 22/7)

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Answer 1

Length of rope needed is 2( circumference of circle)

= 4πr

Diameter= 21m

r= 21/2 m

Length of rope= 4*22/7*21/2

=132m

Cost of rope= 4 rupees per m

Cost= 528 rupees

Hope this helps

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Answer 2

$\huge\mathfrak{\underline{Correct\:question}}$

A gardener wants to fence a circular garden of diameter 21m. Find the length of the rope he needs to purchase, if he makes 2 rounds of fence. Also find the cost of the rope, if it costs ₹ 4 per meter. (Take π = 22/7)

_____________________________

Given that:-

• A gardener wants to fence a circular garden of diameter 21m.

• He makes two rounds of fence

• The cost of the rope, ₹ 4 per meter.

To find:-

• The length of rope

• Cost of rope

Answer:-

$\bold{STEP-BY-STEP-EXPLANATION}$

From the question it is given that,

Diameter of the circular garden = 21 m

We know that, radius (r) = d/2

= 21/2

= 10.5 m

Then,

Circumference of the circle = 2πr

= 2 × (22/7) × 10.5

= 462/7

= 66 m

So, the length of rope required = 2 × 66 = 132 m

Cost of 1 m rope = ₹ 4 [As given]

Cost of 132 m rope = ₹ 4 × 132

= ₹ 528

Therefore length of rope= 132m and cost of rope = rupees 528.

#BAL

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